Order of Operations in Mathematics follow this following rule :
This rule is known as the PEMDAS method.
Let us tackle the problem!
[tex](2x - 4) - (6x +6) = 2x - 4 - 6x - 6[/tex] ⇒ open parenthesis
[tex](2x - 4) - (6x +6) = 2x - 6x - 4 - 6[/tex] ⇒ rearrange term
[tex](2x - 4) - (6x +6) = (2 - 6)x - 10[/tex] ⇒ factorize
[tex](2x - 4) - (6x +6) = -4x - 10[/tex]
[tex]\large {\boxed {(2x - 4) - (6x +6) = -2( 2x + 5 ) } }[/tex]
[tex](2x - 4) + (6x +6) = 2x - 4 + 6x + 6[/tex] ⇒ open parenthesis
[tex](2x - 4) + (6x +6) = 2x + 6x - 4 + 6[/tex] ⇒ rearrange term
[tex](2x - 4) + (6x +6) = (2 + 6)x + 2[/tex] ⇒ factorize
[tex](2x - 4) + (6x +6) = 8x + 2[/tex]
[tex]\large {\boxed {(2x - 4) + (6x +6) = 2( 4x + 1 ) } }[/tex]
Grade: High School
Subject: Mathematics
Chapter: Linear Equations
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point
Simplification of expression can be done using BODMAS rule. The simplified expression for given expression [tex](2x-4)-(6x+6)[/tex] is [tex](-4x-10)[/tex].
Given information:
The expression [tex](2x-4)-(6x+6)[/tex]
Simplify the above expression by following the simplification followed by opening the brackets then simplify the addition, subtraction , multiplication and division required according to the expression.
Follow the following steps to simplify the given expression:
On solving the expression by opening the brackets as:
[tex]=(2x-4)-(6x+6)\\\\=2x-4-6x-6\\\\=-4x-10\\[/tex]
Hence, the simplified expression for given expression is:
[tex](-4x-10)[/tex]
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